The firemen should adjust the angle of elevation of the hose to 41.1 degrees in order to hit the building 45.0 m away in 3.00 s.
We can use the equations of motion to solve this problem. We know that the initial velocity of the water stream is 25.0 m/s and that it moves in projectile motion. We need to find the angle of elevation α that will allow the water to reach a building 45.0 m away in 3.00 s.
Let's define the x-axis to be horizontal and the y-axis to be vertical. The initial velocity of the water stream can be broken down into its x and y components:
vx = v cosα = 25.0 cosα
vy = v sinα = 25.0 sinα
where v is the magnitude of the initial velocity.
Using the equation of motion for the x-direction, we can find the time it takes for the water to reach the building:
x = vx t
45.0 = 25.0 cosα t
t = 45.0 / (25.0 cosα)
Using the equation of motion for the y-direction, we can find the angle of elevation:
y = vy t - 1/2 g t^2
0 = 25.0 sinα (45.0 / (25.0 cosα)) - 1/2 (9.81) (45.0 / (25.0 cosα))^2
0 = 45.0 tanα - 1/2 (9.81) (45.0 / 25.0)^2
tanα = (1/2) (9.81) (45.0 / 25.0)^2 / 45.0
α = tan^-1((1/2) (9.81) (45.0 / 25.0)^2 / 45.0) = 41.1 degrees
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what is period for pendulum
The period of a pendulum is the time it takes for one complete back-and-forth swing or oscillation of the pendulum. It is the time interval between two successive swings of the pendulum.
The period of a simple pendulum can be calculated using the following formula:
T = 2π√(L/g)
where T is the period of the pendulum in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity in meters per second squared.
This formula assumes that the pendulum is a simple, idealized pendulum consisting of a massless rod and a point mass (the "bob") at the end. It also assumes that the pendulum swings in a small angle (less than about 15 degrees) and that there is no air resistance or friction.
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Calculate the force of repulsion between two plastic spheres that are located 110 cm apart. Each sphere has a deficit of 1. 2x10^8 electrons
The repelling thrust between the two plastic spheres is [tex]2.83x10^-13 N[/tex].
The force of repulsion between two plastic spheres can be calculated using Coulomb's Law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
The formula for Coulomb's Law is:
[tex]F = (k*q1*q2)/r^2[/tex]Where F is the force of repulsion, k is Coulomb's constant [tex](9x10^9 Nm^2/C^2)[/tex], q¹ and q² are the charges on the plastic spheres, and r is the distance between them.
Given that each sphere has a deficit of [tex]1.2x10^8[/tex] electrons, we can calculate the charge on each sphere using the formula q = n*e, where n is the number of electrons and e is the charge of an electron [tex](1.6x10^-19 C)[/tex].
[tex]q¹ = q² = (1.2x10^8)*(1.6x10^-19) = 1.92x10^-11 C[/tex]
Plugging in the values into the formula for Coulomb's Law, we get:
[tex]F = (9x10^9)*(1.92x10^-11)*(1.92x10^-11)/(1.1)^2F = 2.83x10^-13 N[/tex]
Therefore, the force of repulsion between the two plastic spheres is [tex]2.83x10^-13 N[/tex].
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an object has two forces acting on it. one force with a magnitude of 10 n acts in a northerly direction. the other force with a magnitude of 10 n acts in an easterly direction. what is the magnitude of the net force acting on this object?
14.14 (resultant vector)
What are the 3 formulas in Ohm's law?
Ohm's law has three formulas, which are V = IR, I = V/R, and R = V/I.
Ohm's law describes the relationship between voltage, current, and resistance in an electrical circuit. The first formula, V = IR, states that the voltage across a resistor is directly proportional to the current flowing through it, with the constant of proportionality being the resistance of the resistor.
The second formula, I = V/R, expresses the current flowing through a resistor in terms of the voltage across it and the resistance of the resistor. Finally, the third formula, R = V/I, gives the resistance of a resistor in terms of the voltage across it and the current flowing through it. These formulas are commonly used in analyzing and designing electrical circuits.
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how to convert 60km to mph?
60 kilometers per hour (Km) is equal to 37.28 miles per hour.
Use formula, km/ 1.609 to convert to mph.
Distance is the sum of an object's movements, regardless of direction. Distance can be defined and explained as the amount of space an object has covered, regardless of its starting or ending position.
The pace at which an object's position changes in any direction is referred to as its speed. The distance traveled in the relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. You must always multiply or divide by 1.6 to determine MPH. When moving at 60 km/h, the calculation is 60/1.609344, or 37.28 mph.
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a report gives a result as being 23.6 /- 0.2 cm. which type of uncertainty is this?
The uncertainty given as "0.2 cm" in the report represents the precision of the measurement. This type of uncertainty is known as random or statistical uncertainty
Random uncertainty arises as a result of measurement technique limitations, such as the limitations of the measuring instrument or the experimenter's ability to read the instrument. Random uncertainty can be reduced by improving measurement technique or taking more measurements to improve result precision.
The reported value of "23.6 cm" is the best estimate of the true value of the quantity being measured in this case, and the uncertainty of "0.2 cm" indicates the range of values within which the true value is likely to lie. It means that if the measurement were repeated multiple times, the values obtained with a certain level of confidence (typically 95% confidence interval) would be expected to fall within the range of 23.4 cm to 23.8 cm.
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A boat has a maximum velocity of 12 m/s. If the boat is sailing in the direction of 45 degrees and the ocean current that is 2 m/s directly south, what is the actual speed of the boat and in what direction is the boat heading?
Answer:
speed of the boat = 10.67 m/s...
direction the boat is 38.2 degrees north of east...
Explanation:
To solve this problem, we can use vector addition.
Let the velocity of the boat be represented by vector B, which has a magnitude of 12 m/s and is directed 45 degrees north of east. We can represent this vector as:
B = 12 m/s at 45 degrees
Let the velocity of the ocean current be represented by vector C, which has a magnitude of 2 m/s and is directed directly south. We can represent this vector as:
C = 2 m/s at 270 degrees
To find the actual speed of the boat and the direction it is heading, we need to add these two vectors together using vector addition. To do this, we can break each vector into its x and y components:
Bx = 12 m/s * cos(45) = 8.49 m/s
By = 12 m/s * sin(45) = 8.49 m/s
Cx = 0 m/s
Cy = -2 m/s
Now, we can add the x and y components of the vectors separately:
Rx = Bx + Cx = 8.49 m/s + 0 m/s = 8.49 m/s
Ry = By + Cy = 8.49 m/s - 2 m/s = 6.49 m/s
The resulting vector R has a magnitude of:
|R| = sqrt(Rx^2 + Ry^2) = sqrt((8.49 m/s)^2 + (6.49 m/s)^2) = 10.67 m/s
And a direction of:
theta = arctan(Ry/Rx) = arctan(6.49 m/s/8.49 m/s) = 38.2 degrees
Therefore, the actual speed of the boat is 10.67 m/s and the direction the boat is heading is 38.2 degrees north of east...
Again consider example 3. 4. Does this curve provide sufficient stopping sight distance for a speed of 60 mi/h?
The minimum length of the curve for the required sight distance is 338.12 feet.
Locate the station point of the highest point on the curve.
(dy)/(dx) = 0
(dy)/(dx) = - 0.19 × 2x + 1.2 = 0
x = 3.1579stations
The elevation of the very best point at the curve is
y = - 0.19 × 3.1579² + 1.2 × 3.1579 + 1094.8
= 1096.69ft
Deceleration rate a is 11.2ft / (s² ). Reaction time t is 2.5seconds
The necessary SSD for the design speed of 60mph is
V 1 ^ 2/ 2g(( a / g ) pm G) +V 1 × t
,= (60 * 5280ft)² /(60 × 60s)) ² /(2 × 32.2((112/322))) + ((60 * 5280f)/(60 * 60s)) * 2.5
= 565.71pi
Lm= (|G1 - G2| × SSD² )/2158 = (|1.2 + 1.08| × 565.71²) /2158
= 338.12ft
speed in physics is a scalar amount that refers back to the fee at which an item moves, typically expressed in units of meters in line with seconds (m/s) or kilometers in step with the hour (km/h). it is defined as the distance an item travels in line with a unit of time, which means that it only takes into consideration the value of the item's motion and not its path.
Immediate speed refers to the speed of an item at any given second, at the same time as average speed is calculated over a period of time. the velocity of an object may be inspired by means of several elements, which include the forces appearing upon it and the medium through which it is transferring.
Further to hurry, there are different associated standards in physics, along with speed, which incorporates each the rate and course of an item's movement and acceleration, which describes the rate at which an object's velocity changes over the years.
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Technology required. Ramps in a parking garage need to be both steep and safe. The maximum safe incline for a ramp is 8. 5 degrees. Is this ramp safe?
No, this ramp is not safe. The maximum safe incline for a ramp is 8.5 degrees, and this ramp is steeper than that. A ramp that is too steep could cause cars to lose control, which could lead to accidents.
To calculate whether this ramp is safe, we need to know the length of the ramp.
Given from the figure, the length of ramp = 95
the width of ramp = 15
Let the steep angle = α
The maximum safe incline for a ramp is = 8.5degrees.
Tanα = 15/95 = 3/19
Tanα = 0.158
=> [tex]\alpha = Tan^{-1}(0.158)[/tex]
=> α = 8.98°
8.98° > 8.5° (maximum safe incline )
So, the ramp is not safe.
Additionally, a ramp that is too steep can make it difficult for drivers to properly gauge their speed and maneuver the ramp safely. For all of these reasons, it is important that ramps in a parking garage be built with a maximum incline of 8.5 degrees.
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The transformers step down the voltage from a high of 765 volts to the voltage we use in our houses.
Question 6 options:
True
False
The statement "The transformers step down the voltage from a high of 765 volts to the voltage we use in our houses." is true. Because Transformers are electrical devices that can step up or step down voltage levels, depending on their design and purpose.
Transformers play a critical role in the safe and efficient distribution of electricity, by enabling power to be transmitted over long distances and used in a variety of applications with different voltage requirements.
In the case of the power grid, large power transformers are used to step up the voltage of the electricity generated at power plants, to reduce losses during long-distance transmission. However, before the electricity can be used in homes and businesses, the voltage must be stepped down to a safe and usable level.
In the United States, the standard voltage for household electrical systems is 120 volts (or 240 volts for larger appliances), so transformers are used to step down the voltage from higher levels, such as the 765 volts mentioned in the question.
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The microscopic structure of a polarizing filter is analogous to a - window screen - barbeque grill - roll of coins - kitchen sieve - plate of spaghetti
The microscopic structure of a polarizing filter is analogous to a kitchen sieve. Hence, the correct option is (C).
The microscopic structure of a polarizing filter is analogous to a kitchen sieve. A polarizing filter is made up of a series of parallel lines or fibers that allow light to pass through in only one direction, while blocking light that oscillates in other directions. This is similar to a kitchen sieve, which has a series of parallel holes that allow small particles to pass through in one direction while blocking particles that try to pass through in other directions. A window screen, barbeque grill, and plate of spaghetti all have a similar function of filtering particles, but they do not have the same parallel structure as a polarizing filter or kitchen sieve. A roll of coins also has a parallel structure, but it does not filter light or particles in the same way as a polarizing filter or kitchen sieve. Therefore, the best analogy for the microscopic structure of a polarizing filter is a kitchen sieve.
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what is m/s to mach?
The conversion from meters per second (m/s) to Mach is dependent on the speed of sound, which varies with temperature and altitude.
Mach is a unit of speed that is based on the speed of sound in a given medium, usually air. It is defined as the ratio of the speed of an object to the speed of sound in the same medium. The speed of sound, in turn, is affected by temperature and altitude, since the density and compressibility of the medium change with these factors.
Therefore, the conversion factor between m/s and Mach is not a fixed value, but rather depends on the specific conditions of the medium in which the object is traveling. A common approximation for the speed of sound at sea level and 15 degrees Celsius is 340 m/s, which corresponds to Mach 1.
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what is the role of convection in producing the rain shadow effect?
Convection plays a crucial role in producing the rain shadow effect because it is the mechanism that causes the air to rise and cool on the windward side of the mountain range.
What is Convection?
Convection is the process by which heat is transferred from one place to another by the movement of fluids (liquids or gases). In this process, warmer portions of the fluid rise while cooler portions sink, creating a cyclical flow.The process of convection occurs because heated fluid becomes less dense and rises, while cooler fluid is denser and sinks. This movement of the fluid creates a current that can transfer heat from one place to another.Convection plays an important role in many natural processes, such as weather patterns, ocean currents, and the Earth's mantle convection. Convection is also commonly used in engineering and technology to transfer heat in devices such as air conditioners, refrigerators, and heat exchangers.The rain shadow effect is a phenomenon that occurs when moist air from an ocean or other body of water encounters a mountain range, causing the air to rise and cool, leading to precipitation on the windward side of the mountain range. However, as the air descends down the leeward side of the mountain range, it warms and dries out, creating a rain shadow region with much less precipitation.
Convection plays a crucial role in producing the rain shadow effect because it is the mechanism that causes the air to rise and cool on the windward side of the mountain range. When the moist air encounters the mountain range, it is forced to rise due to the topography, leading to the formation of clouds and precipitation. This rising air is driven by convective processes, which occur as a result of temperature differences within the atmosphere.
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Is the force of gravity from the sun the same at all points in the orbit?
Answer:
The farther it is from the Sun, the weaker the Sun's gravitational pull, and the slower it moves in its orbit.
What is the excess charge on a conducting sphere of radius R=0.15m if the potential of the sphere is 1500V and V=0 at infinity?
The excess charge on the conducting sphere is 3.98×10⁻⁶ C.
What is electric potential?Electric potential is a scalar quantity that describes the electrical potential energy per unit charge of a charged object or system. It is also known as voltage and is measured in volts (V).
Electric potential is defined as the work done per unit charge in moving a small positive test charge from an infinite distance to a point in an electric field. It is a measure of the electric potential energy that a unit charge would have if it were placed at that point in the field.
The excess charge on a conducting sphere can be calculated using the formula:
Q = 4πε0R V
Where Q is the excess charge on the sphere, R is the radius of the sphere, V is the potential of the sphere, and ε0 is the permittivity of free space.
Placing the given values into the equation, we get
Q = 4πε0R V
Q = 4π(8.85×10⁻¹² F/m) (0.15m) (1500V)
Q = 3.98×10⁻⁶C
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Please help me I’m really struggling
Answer:
pushes is the correct answer
a child walking in a field makes three consecutive displacements. the child first moves 4.50 m westward, then 12.7 m northward. finally, the child moves back to the starting point of the first displacement. what is the magnitude and direction of the child's third displacement? give the magnitude in m and the direction as an angle south of east.
The Magnitude is 17.20 m and Direction is 270° south of east
Calculation
1. Calculate the net displacement:
12.7 m northward - 4.50 m westward = 8.20 m northward
2. Calculate the magnitude of the third displacement:
Net displacement magnitude = 8.20 m
Third displacement magnitude = 8.20 m
3. Calculate the direction of the third displacement:
Net displacement direction = 90° north of east
Third displacement direction = 270° south of east
What is distance?
Distance is the length of the path between two points. It is measured in metric units such as meters, kilometers, or miles.
What is displacement?
Displacement is the difference between the initial and final positions of a particle. It is a vector quantity and is measured in the same units as distance (meters, kilometers, or miles).
The magnitude of the child's third displacement is 17.20 m and the direction is 270° south of east.
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ASAP
Which kind of disturbance is created by moving a spring toy up and down?
A. parallel to the wave motion,
B. perpendicular to the wave motion
C. in a circular motion,
D. in the same direction as the wave motion
Answer:
B
Explanation:
Because spring waves are transverse waves and they move perpendicularly to the direction of motion
what happens when electrons all spin in the same direction
Magnetism is an intangible force that is produced when electrons spin unison. The field is also larger the stronger the magnet.
What is the easiest way to define magnetism?As magnets attract or repel one another, they exert a force known as magnetism. The movement of electric charges is what generates magnetism. Atoms are little building blocks that make up all substances. Each atom contains electrons, which are little particles with electric charges.
What are two illustrations of magnetism?Poles of magnetism are always found in pairs. Iron, nickel, chrome, stainless steel, and several rare earth metals are a few examples of magnetic materials. Copper and gold are diamagnetic materials that are only faintly attracted to magnetic fields. Aluminum and calcium, which are both magnetic elements, are only faintly drawn to a
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What is the speed of sound at 21 C? For a frequency of 3 kHz, how large do you expect the wavelength to be?
477.5 m/s (express your answer in integral form) 0.15915 (express your answer with 2 decimal place)
Answer:
0.11m
Explanation:
The speed of sound at 21°C is approximately 343 m/s.
To calculate the wavelength for a frequency of 3 kHz, we can use the formula:
wavelength = speed of sound / frequency
Plugging in the values we have:
wavelength = 343 m/s / 3000 Hz = 0.1143 meters
Rounding to two decimal places, we get a wavelength of 0.11 meters or 0.11 m.
what equation do you get when you apply the loop rule to the loop abcdefgha, in terms of the variables in the figure?
The loop rule (also known as Kirchhoff's voltage law) states that the sum of the potential differences around a closed loop in a circuit must be zero.
What is electric current?Electric current is the flow of electric charge through a material. It is typically expressed in units of amperes (A), which represent the rate at which charge flows through a conductor.
Here,
In general, the loop rule (also known as Kirchhoff's voltage law) states that the sum of the potential differences around a closed loop in a circuit must be zero. This can be expressed mathematically as
ΣV = 0
where ΣV is the sum of the potential differences (voltages) around the loop. The potential differences can be calculated using Ohm's law (V = IR) and the properties of circuit elements such as resistors, capacitors, and inductors.
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Light energy with very low amplitude would be perceived asA:blueb:brightc:redd:dim
Light energy with very low amplitude would be perceived dim.
To the human sight, such low amplitude light energy would appear weak. This is because of the wave's amplitude, which in the case of light relates to the light's intensity or brightness and t will measure the size of its oscillations.
In other words, as a light wave's amplitude falls, it loses energy and becomes brighter to the eye. This is true because light with a specific range of amplitude and moderate intensity is best perceptible to the human eye. When there is insufficient light that falls outside of this spectrum, it is seen as being faint or invisible.
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What is formula and unit of torque?
Torque formula: T = F x r x sin(theta). Unit: newton-meter (N*m). It's the measure of rotational force.
Torque is the proportion of a power's capacity to make an item turn about a hub or turn point. It is much of the time depicted as the turning force that causes a revolution. The equation for torque is T = F x r x sin(theta), where T is the torque, F is the power applied, r is the separation from the pivot of turn to where the power is applied, and theta is the point between the power and the switch arm. The SI unit of force is the newton-meter (N*m).
In outline, force is a proportion of the power that makes an item turn around a hub or turn point. The recipe for force incorporates the power applied, the separation from the pivot of revolution, and the point between the power and the switch arm. The SI unit of force is the newton-meter.
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a dragster starts from rest and travels 1/4 mi in 4.7 s with constant acceleration. what is its velocity in mi/h when it crosses the finish line?
Answer:
The dragster's velocity in mi/h when it crosses the finish line is 159.2 mi/h. This can be calculated by taking the distance traveled divided by the time taken, multiplied by 3600 (for conversion of seconds to hours).
If Alex wishes to rotate his skateboard, then he must apply a. A) torque. B) rotational maneuver. C) pause before bearing down on the board.
If Alex wishes to rotate his skateboard, he must apply a torque.
Torque is the twisting or rotational force that is required to cause an object to rotate around an axis or pivot point. In the case of a skateboard, if Alex wants to rotate the board, he needs to apply a torque by pushing on one end of the board while keeping the other end stationary or pushing in the opposite direction. This will cause the board to rotate around its center of mass.
A rotational maneuver is a general term that could refer to any type of rotational movement or action, whereas a pause before bearing down on the board is not directly related to the act of rotating the skateboard.
Therefore, option A) torque is correct option. If Alex wishes to rotate his skateboard, he must apply a torque
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what is 3rd law of motion?
The third law of motion, also known as the law of action-reaction, states that for every action, there is an equal and opposite reaction.
This implies that there are always two forces acting on the two interacting objects. The first object is subject to a force of similar magnitude to the second object. Force pairs—equal and opposing action-reaction force pairs—always exist in pairs.
For example, when a person jumps up into the air, the ground exerts an equal force in the opposite direction, pushing the person back up into the air. This law can also be applied to a rocket engine, where the exhaust gases being expelled out of the engine cause a reaction force that propels the rocket forward.
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When preparing a wet mount specimen for viewing, it should be covered with ______. A) clear paper. B) another glass slide. C) a coverslip
When preparing a wet mount specimen for viewing, it should be covered with a coverslip.
A coverslip is a thin, flat piece of glass or plastic that is placed over the specimen on the slide. It is used to protect the specimen from being compressed or damaged, and to prevent evaporation of the liquid medium that the specimen is suspended in. The coverslip also helps to keep the specimen in focus and allows the viewer to observe the specimen clearly under a microscope.
To prepare a wet mount, a small amount of the specimen is placed on a microscope slide and a drop of liquid medium (such as water, saline, or stain) is added. The coverslip is then placed over the specimen at a slight angle and carefully lowered onto the slide to avoid trapping air bubbles. The coverslip should be pressed down gently to flatten the specimen and remove any excess liquid, but not so hard as to crush the specimen.
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which answer best describes what the surface of the earth would be like if you could travel back to the time when the earth first formed as a planet? a.earth has atmosphere b.earth has lots of volcano c.earth is covered by with red dust d.earth has mostly water on the surface
It will be very difficult to if you could travel back to the time when the Earth first formed as a planet. It has lots of volcano with no water or ocean.
Earth would have been a very hostile and unpleasant planet when it originally formed, and life would not have been viable. Without any water or ocean, it was merely molten volcanic soil. At that time, the atmosphere and life were not even established. First, there was a time when the Earth's atmosphere was highly hot and there were frequent collisions with celestial bodies. Hence, the heat generated in the atmosphere was in a molten volcanic state. lava and magma alone. Ocean formation and, by extension, life, were prohibited by high temperatures.
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The answer that best describes the surface of the Earth at this time is option B, "Earth has lots of volcanoes."
If you could travel back in time to when the Earth first formed as a planet, the surface of the Earth would likely be characterized by frequent volcanic activity and a lack of water. Therefore, the answer that best describes the surface of the Earth at this time is option B, "Earth has lots of volcanoes."
During the early stages of the Earth's formation, intense heat and pressure caused the surface to be covered in molten lava and ash. Over time, this activity led to the formation of the Earth's crust, and the continued volcanic activity helped shape the planet's surface and atmosphere.
It wasn't until later, through a process known as outgassing, that water vapor and other gases were released from the Earth's interior and began to accumulate in the atmosphere, eventually leading to the formation of oceans and the emergence of life.
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how much do clouds weigh
The weight of a cloud can vary widely depending on its size, height, and the amount of moisture it contains, so there isn't a fixed weight for all clouds.
Clouds consist of water droplets or ice crystals that are suspended in the air, so they don't have a specific weight that can be measured. However, the amount of water vapor contained in a cloud can be estimated, and this can be converted to a weight using the density of water. On average, a cumulus cloud weighing about 1 million pounds contains around 100 tons of water.
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Hi, can someone help me on solving this? (Rt is total resistance, It is total current and VT is total voltage)
Answer:
Below
Explanation:
You have total current correct 3 A from the ammeter in the circuit.
Must find total resistance to calculate the Vt
the two resistors in parallel = 12 * 6 / (12+6) = 4 Ω
then add this equivalent R to the other R that is in series
8 + 4 = 12 Ω < ==== Rt
then Vt = It Rt
Vt = 3 * 12 = 36 v
V1 = It R1 = 3 * 8 = 24 V
V2 and V3 are equal and would be the voltage left 36-24 = 12 v
or you could calculate V2 and V3 V2 = V3 = It R = 3 ( 4 Ω) = 12 v